Properties of Real Numbers
Main Concept
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Any real numbers and have the following properties:
1.
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They are closed under addition: is a real number
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2.
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They are closed under multiplication: is a real number
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3.
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Addition is associative:
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4.
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Multiplication is associative:
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5.
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Addition is commutative:
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6.
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Multiplication is commutative:
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7.
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They are distributive:
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8.
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0 is the additive identity:
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9.
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1 is the multiplicative identity:
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10.
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Each number has an additive inverse:
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11.
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Each number except for 0 has a multiplicative inverse:
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Use the sliders to choose , and , and click Show Distributive Property. Use the radio buttons to see how .
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